Monthly Best Of on 10/28/2013




The quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section-

Jean-François COLONNA
[Contact me]

www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[The Y2K Bug [Le bug de l'an 2000]]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find thousands of pictures and animations between Art and Science]
(CMAP28 WWW site: this page was created on 10/28/2013 and last updated on 11/14/2023 17:48:24 -CET-)




Contents of this page:


1-The 128 most referenced Pictures (*):

(*): Undisplayed pictures -if any- do not exist.



A tridimensional fractal manifold defined by means of three tridimensional fields
1-309 reference(s)		 Anaglyph -blue=right, red=left- of a fractal-fractal tree
2-289 reference(s)		 Sixteen interlaced torus
3-258 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
4-243 reference(s)
Happy new year 2000
5-239 reference(s)		 'O temps tes pyramides' -a Tribute to Jorge Luis Borges-
6-178 reference(s)		 Monument Valley à la David Hockney
7-173 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
8-173 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
9-169 reference(s)		 64 elementary bidimensional binary cellular automata with 1 white starting central point
10-168 reference(s)		 A fractal hypercube
11-167 reference(s)		 A punched paper tape
12-158 reference(s)
Autostereogram with an hidden volcano
13-145 reference(s)		 Tridimensional representation of a hexadimensional Calabi-Yau manifold
14-145 reference(s)		 N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
15-144 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
16-139 reference(s)
Artistic view of the prime numbers
17-138 reference(s)		 Artistic variation on a tridimensional fractal cross -iteration 4-
18-134 reference(s)		 The random walk of photons escaping the Sun
19-125 reference(s)		 Isle of the Dead -a Tribute to Arnold Böcklin-
20-119 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
21-116 reference(s)		 A fractal-fractal tree
22-114 reference(s)		 Tridimensional Hilbert Curve -iteration 3-
23-110 reference(s)		 The generalized Ulam spiral
24-108 reference(s)
A set of 4x3 stereograms of a fractal hypercube
25-107 reference(s)		 Autostereogram with an hidden volcano
26-104 reference(s)		 The random walk of photons escaping the Sun
27-101 reference(s)		 Particle diffusion inside the Hiroko Kitaoka model of the human pulmonary acinus with membrane permeability
28-97 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
29-96 reference(s)		 Quark and gluon structure of a nucleon
30-94 reference(s)		 From Pluto to the Sun (non linear scales)
31-93 reference(s)		 Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
32-93 reference(s)
Quantum vacuum fluctuations
33-92 reference(s)		 Autostereogram with an hidden volcano and 64 self-portraits
34-90 reference(s)		 Zoom in on the von Koch curve
35-89 reference(s)		 From low to high galaxy density in the local universe (the depth is displayed by means of the luminance)
36-88 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
37-83 reference(s)		 The tridimensional Ising Model with 2-state spins, temperature=0.2, random initial conditions and an increasing number of iterations -from 100 to 4000-
38-83 reference(s)		 Autostereogram with an hidden volcano
39-82 reference(s)		 True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
40-79 reference(s)
Bidimensional Hilbert Curve -iteration 4-
41-79 reference(s)		 Fractal Notre-Dame de la Garde, Marseilles
42-79 reference(s)		 The multiplicative persistence of the 65536 first integer numbers for the bases 2 -lower left- to 17 -upper right-
43-77 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
44-77 reference(s)
Autostereogram with an hidden ring and ghost bows
45-75 reference(s)		 Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
46-74 reference(s)		 The Lorenz attractor
47-74 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
48-74 reference(s)
Tridimensional display of the Riemann Zeta function inside [+0.1,+0.9]x[0,+50]
49-66 reference(s)		 Artistic variation on a tridimensional fractal cross -iteration 2-
50-65 reference(s)		 Autostereogram with an hidden volcano
51-62 reference(s)		 Autostereogram with an hidden volcano
52-61 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
53-61 reference(s)		 The foggy Babel Tower -a Tribute to Brueghel the Elder-
54-58 reference(s)		 Quark and gluon structure of a nucleon
55-58 reference(s)		 An aperiodic Penrose tiling of the Golden Decagon
56-57 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
57-57 reference(s)		 The Jeener-Klein triple bottle
58-57 reference(s)		 Autostereogram of 8 color-multiplexed quaternionic Julia sets -tridimensional cross-sections-
59-56 reference(s)		 True colors autostereogram of a fractal landscape
60-54 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
61-54 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
62-51 reference(s)		 Isotropic random walk of 64 particles on a tridimensional square lattice
63-51 reference(s)		 From the infinitely small to the infinitely big
64-51 reference(s)
A Peano 'fractal plane' defined by means of three bidimensional fields
65-50 reference(s)		 Autostereogram of Monument Valley
66-47 reference(s)		 The Scream -a Tribute to Edvard Munch-
67-46 reference(s)		 Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
68-46 reference(s)
Autostereogram -using a periodical paradoxal structure as a desguise texture- with an hidden gaussian mountain
69-45 reference(s)		 From Pluto to the Sun -extrapolation 1- (non linear scales)
70-44 reference(s)		 Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
71-44 reference(s)		 Artistic view of the Big Bang
72-43 reference(s)
Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
73-43 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
74-43 reference(s)		 Tridimensional fractal structure -the space-time foam?-
75-43 reference(s)		 Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
76-43 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
77-42 reference(s)		 Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
78-41 reference(s)		 Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
79-41 reference(s)		 Sixteen interlaced fractal torus
80-41 reference(s)
Quantum vacuum fluctuations
81-40 reference(s)		 Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
82-40 reference(s)		 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
83-39 reference(s)		 An Archimedes spiral displaying 1000 numbers
84-38 reference(s)
Fractal piano keyboard
85-38 reference(s)		 Hypercube
86-38 reference(s)		 The Goldbach conjecture -the Goldbach glacier- for the even numbers from 6 to 1564
87-38 reference(s)		 Along the border of the Mandelbrot set
88-37 reference(s)
N-body problem integration (N=10)displaying the actual Solar System
89-37 reference(s)		 The snake swallows its own tail
90-37 reference(s)		 Untitled 0196
91-37 reference(s)		 Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
92-37 reference(s)
Quark and gluon dynamics of the nucleon
93-36 reference(s)		 The Ulam spiral displaying 2025 numbers
94-36 reference(s)		 Jean-François COLONNA (on 11/17/1994)with its fractal mountains
95-36 reference(s)		 Autostereogram of a quaternionic Julia set -tridimensional cross-section-
96-35 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
97-35 reference(s)		 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
98-35 reference(s)		 Foggy Monument Valley
99-34 reference(s)		 The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
100-34 reference(s)
The tower -a Tribute to Vladimir Tatline-
101-34 reference(s)		 The same bidimensional scalar field displayed with 4 different color palettes
102-33 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
103-33 reference(s)		 The Jeener-Klein triple bottle
104-33 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
105-32 reference(s)		 A quaternionic Julia set -tridimensional cross-section-
106-32 reference(s)		 Tridimensional representation of a quadridimensional Calabi-Yau manifold
107-32 reference(s)		 The generalized Ulam spiral displaying 2025 numbers
108-31 reference(s)
Artistic variation on the generalized Ulam spiral displaying 81 numbers
109-31 reference(s)		 N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Sun point of view-
110-31 reference(s)		 Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
111-31 reference(s)		 Sunny Monument Valley
112-30 reference(s)
Autostereogram -using periodical light clouds as desguise texture- with a hidden gaussian mountain
113-30 reference(s)		 A shell (Jeener surface 1)in motion
114-30 reference(s)		 LE BUG DE L'AN 2000 (comprendre l'informatique jusqu'à ses défaillances)
115-30 reference(s)		 Rotation about the Y (vertical)axis of the Jeener-Klein triple bottle that can also be viewed as a set of 4x3 stereograms
116-30 reference(s)
An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
117-30 reference(s)		 A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
118-29 reference(s)		 Recursive intertwining
119-29 reference(s)		 The generalized Ulam spiral displaying 100 numbers
120-29 reference(s)
Synthesis of bidimensional geometrical textures
121-29 reference(s)		 A set of 4x3 stereograms of a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
122-29 reference(s)		 The bidimensional John Conway's life game
123-29 reference(s)		 A set of 4x3 stereograms of a tridimensional interpolation between a fractal structure and a cubic mesh
124-29 reference(s)
Fractal diffusion front in a bidimensional medium obtained by means of a random walk process
125-29 reference(s)		 The abelian -commutative- group defined on elliptic curves
126-29 reference(s)		 Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
127-29 reference(s)		 Untitled 0180
128-28 reference(s)




2-The 128 most referenced Pages (*):

(*): Unclickable pages -if any- do not exist.



1-catalogue.11
2001 reference(s)		 2-demo_14
457 reference(s)
3-AQuoiServentLesMathematiques.01
443 reference(s)		 4-UlamSpiral.01.Fra
395 reference(s)
5-Fractal.01
371 reference(s)		 6-An2000.01.Fra
367 reference(s)
7-aquoiserventlesmathematiques.01
344 reference(s)		 8-AVirtualSpaceTimeTravelMachine.Ang
335 reference(s)
9-help.
313 reference(s)		 10-FloatingPointNumbers.01.Fra
301 reference(s)
11-fractal.01
276 reference(s)		 12-Stereogrammes_AutoStereogrammes.01
267 reference(s)
13-GenieLogiciel_VisualisationScientifique.01.vv
246 reference(s)		 14-MathematiquesPhysiqueFractales.02
239 reference(s)
15-FaireDeLaRecherche.01.vv
239 reference(s)		 16-Galerie_NumberTheory.FV
235 reference(s)
17-RealNumbers.01.Fra
228 reference(s)		 18-Galerie_DeterministicFractalGeometry.FV
224 reference(s)
19-AVirtualSpaceTimeTravelMachine.Fra
216 reference(s)		 20-MonodimensionalCellularAutomata.01.Fra
210 reference(s)
21-Galerie_NewPictures.FV
210 reference(s)		 22-Galerie_GeneralitiesVisualization.FV
204 reference(s)
23-mail.01.vv
201 reference(s)		 24-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
198 reference(s)
25-Galerie_QuantumMechanics.FV
189 reference(s)		 26-NatureDesMathematiques.01.vv.Fra
186 reference(s)
27-fairedelarecherche.01.vv
184 reference(s)		 28-SurfaceProjector.01.Fra
182 reference(s)
29-copyright.01.
178 reference(s)		 30-ManyChaos.01.Fra
178 reference(s)
31-Galerie_ParticleSystems.FV
178 reference(s)		 32-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
178 reference(s)
33-Autostereograms.01.
178 reference(s)		 34-AvantPropos.01.Fra
177 reference(s)
35-AProposSite.01.Fra
177 reference(s)		 36-ExpV_VirE.11
176 reference(s)
37-Galerie_ArtisticCreation.FV
175 reference(s)		 38-UlamSpiral.01.Ang
173 reference(s)
39-SurfaceProjector.01.Ang
173 reference(s)		 40-ComplexiteStructurelle.01
173 reference(s)
41-infinity.01.vv
172 reference(s)		 42-ImpossibleStructures.01.Fra
172 reference(s)
43-ImpossibleStructures.01.Ang
171 reference(s)		 44-NDimensionalDeterministicFractalSets.01.Fra
168 reference(s)
45-Kepler.02.
168 reference(s)		 46-Galerie_DeterministicChaos.FV
168 reference(s)
47-ImagesDuVirtuel.01.Fra.FV
166 reference(s)		 48-Galerie_ArtAndScience.FV
166 reference(s)
49-Informations_GoodNewsAndBadNews.01.Ang
165 reference(s)		 50-An2000.01.Ang
165 reference(s)
51-An2000.04.Fra
164 reference(s)		 52-GoldenTriangle.01.Fra
163 reference(s)
53-Galerie_SignalProcessing.FV
163 reference(s)		 54-Galerie_CelestialMechanics.FV
163 reference(s)
55-AnimFractal.01.
163 reference(s)		 56-Fractal.11
161 reference(s)
57-EntrelacsIntertwinings.01.Fra
161 reference(s)		 58-realnumbers
160 reference(s)
59-OrdinateursEtCalculs.01.Fra
160 reference(s)		 60-MathematiquesPhysiqueFractales.01
160 reference(s)
61-demo
158 reference(s)		 62-DieuScience.01.Fra
158 reference(s)
63-IllusionConnaissance.02
156 reference(s)		 64-an2000
154 reference(s)
65-MonodimensionalCellularAutomata.01.Ang
154 reference(s)		 66-GoldenTriangle.01.Ang
154 reference(s)
67-Galerie_Tributes.FV
154 reference(s)		 68-Galerie_TextureSynthesis.FV
154 reference(s)
69-Fractal.03
154 reference(s)		 70-ManyChaos.01.Ang
153 reference(s)
71-MathematiquesPhysiqueFractales.22
152 reference(s)		 72-FloatingPointNumbers.01.Ang
152 reference(s)
73-genielogiciel
151 reference(s)		 74-demo.14
151 reference(s)
75-Informations_AboutPicturesAnimationsAndFiles.01.Ang
151 reference(s)		 76-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
150 reference(s)
77-Informations_GoodNewsAndBadNews.01.Fra
150 reference(s)		 78-logiciel
149 reference(s)
79-NombresEtLumiere.01.vv.Fra
149 reference(s)		 80-AvantPropos.01.Ang
149 reference(s)
81-GenieLogiciel.01.Fra
148 reference(s)		 82-Galerie_BestOf.FV
148 reference(s)
83-Commentaires_StructuresVivantesRecursives.01
148 reference(s)		 84-nombresreels
146 reference(s)
85-demo14
146 reference(s)		 86-create.03.
146 reference(s)
87-OrdinateurMathematiquesArt.01.Fra
146 reference(s)		 88-LOG_xiMc.11
146 reference(s)
89-EntrelacsIntertwinings.01.Ang
146 reference(s)		 90-infinity.02.vv
145 reference(s)
91-Galerie_SensitivityToRoundingOffErrors.FV
145 reference(s)		 92-ExpV_VirE.Fra
145 reference(s)
93-EnsembleDesGaleriesFractales.DIAPO.0001
144 reference(s)		 94-MathematiquesPhysiqueFractales.12
143 reference(s)
95-Spheres.01
142 reference(s)		 96-NDimensionalDeterministicFractalSets.01.Ang
142 reference(s)
97-ExpV_VirE.21
142 reference(s)		 98-subject.01.
141 reference(s)
99-Galerie_Astrophysics.FV
141 reference(s)		 100-AVirtualSpaceTimeTravelMachine.Fra.FV
141 reference(s)
101-Commentaires_Cylindre.01
140 reference(s)		 102-OrdinateursEtCalculs.01.Ang
139 reference(s)
103-RemarquesCerveau.01
138 reference(s)		 104-MathematiquesEtCinematographe.01.vv
138 reference(s)
105-ExpV_VirE.01.Ang
138 reference(s)		 106-present.01.
137 reference(s)
107-VisitesGaleriesEnfouies.01.Ang
137 reference(s)		 108-MorePages.
136 reference(s)
109-Galerie_FluidMechanics.FV
135 reference(s)		 110-PerteDeLAssociativite.01
134 reference(s)
111-PatrimoineHumanite.02.Fra
134 reference(s)		 112-AQuoiServentLesMathematiques.02
134 reference(s)
113-EnsembleDesGaleries.DIAPO.0001
133 reference(s)		 114-VisitesGaleriesEnfouies.01.Fra
132 reference(s)
115-VirtualChaos.01.Fra
132 reference(s)		 116-DroitDeReponseScienceEtAvenir.01.vv
132 reference(s)
117-ExpV_VirE.Ang
131 reference(s)		 118-Fractal.02
130 reference(s)
119-VirtualChaos.01.Ang
129 reference(s)		 120-MathematiquesEtRepresentations.01.vv.Ang
129 reference(s)
121-Galerie_QuantumMechanics
129 reference(s)		 122-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
129 reference(s)
123-Vcatalogue.11
128 reference(s)		 124-MathematiquesModeleOutilArtiste.02.Ang
128 reference(s)
125-infinity.01.vv.DIAPO.0001
127 reference(s)		 126-Galerie_QuantumMechanics.DIAPO.0001
127 reference(s)
127-ExpV_VirE.01.Fra
127 reference(s)		 128-QuelquesQuestionsSurLaRecherche.01.Fra
125 reference(s)

And now, enjoy visiting A Virtual Space-Time Travel Machine.




Copyright © Jean-François COLONNA, 2013-2023.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2013-2023.